393093 has 20 divisors (see below), whose sum is σ = 615648. Its totient is φ = 249480.

The previous prime is 393083. The next prime is 393097. The reversal of 393093 is 390393.

It is not a de Polignac number, because 393093 - 2⁴ = 393077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1758 + ... + 1968.

2³⁹³⁰⁹³ is an apocalyptic number.

It is an amenable number.

393093 is a deficient number, since it is larger than the sum of its proper divisors (222555).

393093 is a wasteful number, since it uses less digits than its factorization.

393093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 393093 is about 626.9712912088. The cubic root of 393093 is about 73.2540718459.

It can be divided in two parts, 3 and 93093, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 393093 in words is "three hundred ninety-three thousand, ninety-three".